214242000 has 160 divisors (see below), whose sum is σ = 789544704. Its totient is φ = 48960000.

The previous prime is 214241999. The next prime is 214242001. The reversal of 214242000 is 242412.

214242000 = 1813² + 1814² + ... + 1875².

It is an interprime number because it is at equal distance from previous prime (214241999) and next prime (214242001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214242001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39450 + ... + 44550.

Almost surely, 2^214242000 is an apocalyptic number.

214242000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394772352).

214242000 is an abundant number, since it is smaller than the sum of its proper divisors (575302704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214242000 is a wasteful number, since it uses less digits than its factorization.

214242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 214242000 is about 14637.0078909591. The cubic root of 214242000 is about 598.3677860445.

Adding to 214242000 its reverse (242412), we get a palindrome (214484412).

The spelling of 214242000 in words is "two hundred fourteen million, two hundred forty-two thousand".